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Finding the Third Proportional to 198,588 and 432,118.50

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Solution

The third proportional to 198,588 and 432,118.50 is: 940,270.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,588 : 432,118.50 = 432,118.50 : x
  2. Step 2: Convert to fraction form
    198,588/432,118.50 = 432,118.50/x
  3. Step 3: Cross multiply
    198,588x = 432,118.50 × 432,118.50
  4. Step 4: Simplify right side
    198,588x = 186,726,398,042.25
  5. Step 5: Solve for x
    x = 186,726,398,042.25/198,588
  6. Step 6: Final answer
    x = 940,270.30

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.